Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.5
2.838
Journals
Applied Sciences
Special Issues
Methods in Dynamical Systems, Mathematics of Networks, and Optimization for...
share announcement

Special Issue "Methods in Dynamical Systems, Mathematics of Networks, and Optimization for Modelling in Engineering"

A special issue of Applied Sciences (ISSN 2076-3417).

Deadline for manuscript submissions: closed (31 March 2023) | Viewed by 9359

Special Issue Editor

Dr. Ioannis Dassios

E-Mail Website
Guest Editor
School of Electrical and Electronic Engineering, University College Dublin, D04 Dublin, Ireland
Interests: differential/difference equations; dynamical systems; modeling and stability analysis of electric power systems; mathematics of networks; fractional calculus; mathematical modeling (power systems, materials science, energy, macroeconomics, social media, etc.); optimization for the analysis of large-scale data sets; fluid mechanics; discrete calculus; Bayes control; e-learning
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue aims to gather the latest results related to dynamical systems, mathematics of networks, optimization, and their application in the mathematical modeling of engineering problems, such as concerning electrical power systems, materials, energy, any many more.

This Special Issue will accept high-quality papers describing original research results with the purpose of bringing together mathematicians with engineers, as well as other scientists.

The following non-exhaustive list of topics will be covered:

  • Differential/difference equations
  • Partial differential equations
  • Dynamical systems
  • Mathematics of networks
  • Fractional calculus
  • Modeling and stability analysis of power systems
  • Discrete calculus
  • Circuits theory
  • Signal processing
  • Materials science
  • Energy systems

Dr. Ioannis Dassios
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2300 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (6 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

get_app
Article
On the Derivation of Multisymplectic Variational Integrators for Hyperbolic PDEs Using Exponential Functions
by
Odysseas Kosmas
,
Pieter Boom
and
Andrey P. Jivkov
Appl. Sci. 2021, 11(17), 7837; https://doi.org/10.3390/app11177837 - 25 Aug 2021
Viewed by 907
Abstract
We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems. The formulation of these properties via symplectic forms gives rise to multisymplectic variational schemes. By using analogy with the smooth case, [...] Read more.
We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems. The formulation of these properties via symplectic forms gives rise to multisymplectic variational schemes. By using analogy with the smooth case, we defined a discrete Lagrangian density through the use of exponential functions, and derived its Hamiltonian by Legendre transform. This led to a discrete Hamiltonian system, the symplectic forms of which obey the conservation laws. The integration schemes derived in this work were tested on hyperbolic-type PDEs, such as the linear wave equations and the non-linear seismic wave equations, and were assessed for their accuracy and the effectiveness by comparing them with those of standard multisymplectic ones. Our error analysis and the convergence plots show significant improvements over the standard schemes. Full article
(This article belongs to the Special Issue Methods in Dynamical Systems, Mathematics of Networks, and Optimization for Modelling in Engineering)
►▼ Show Figures

Figure 1

get_app
Article
Criteria for the Nonexistence of Kneser Solutions of DDEs and Their Applications in Oscillation Theory
by
Osama Moaaz
,
Ioannis Dassios
,
Haifa Bin Jebreen
and
Ali Muhib
Appl. Sci. 2021, 11(1), 425; https://doi.org/10.3390/app11010425 - 04 Jan 2021
Cited by 8 | Viewed by 1199
Abstract
The objective of this study was to improve existing oscillation criteria for delay differential equations (DDEs) of the fourth order by establishing new criteria for the nonexistence of so-called Kneser solutions. The new criteria are characterized by taking into account the effect of [...] Read more.
The objective of this study was to improve existing oscillation criteria for delay differential equations (DDEs) of the fourth order by establishing new criteria for the nonexistence of so-called Kneser solutions. The new criteria are characterized by taking into account the effect of delay argument. All previous relevant results have neglected the effect of the delay argument, so our results substantially improve the well-known results reported in the literature. The effectiveness of our new criteria is illustrated via an example. Full article
(This article belongs to the Special Issue Methods in Dynamical Systems, Mathematics of Networks, and Optimization for Modelling in Engineering)
get_app
Article
Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems
by
Georgios Tzounas
,
Ioannis Dassios
,
Muyang Liu
and
Federico Milano
Appl. Sci. 2020, 10(21), 7592; https://doi.org/10.3390/app10217592 - 28 Oct 2020
Cited by 5 | Viewed by 2313
Abstract
This paper discusses the numerical solution of the generalized non-Hermitian eigenvalue problem. It provides a comprehensive comparison of existing algorithms, as well as of available free and open-source software tools, which are suitable for the solution of the eigenvalue problems that arise in [...] Read more.
This paper discusses the numerical solution of the generalized non-Hermitian eigenvalue problem. It provides a comprehensive comparison of existing algorithms, as well as of available free and open-source software tools, which are suitable for the solution of the eigenvalue problems that arise in the stability analysis of electric power systems. The paper focuses, in particular, on methods and software libraries that are able to handle the large-scale, non-symmetric matrices that arise in power system eigenvalue problems. These kinds of eigenvalue problems are particularly difficult for most numerical methods to handle. Thus, a review and fair comparison of existing algorithms and software tools is a valuable contribution for researchers and practitioners that are interested in power system dynamic analysis. The scalability and performance of the algorithms and libraries are duly discussed through case studies based on real-world electrical power networks. These are a model of the All-Island Irish Transmission System with 8640 variables; and, a model of the European Network of Transmission System Operators for Electricity, with 146,164 variables. Full article
(This article belongs to the Special Issue Methods in Dynamical Systems, Mathematics of Networks, and Optimization for Modelling in Engineering)
►▼ Show Figures

Figure 1

get_app
Article
Oscillatory Properties of Odd-Order Delay Differential Equations with Distribution Deviating Arguments
by
Ali Muhib
,
Thabet Abdeljawad
,
Osama Moaaz
and
Elmetwally M. Elabbasy
Appl. Sci. 2020, 10(17), 5952; https://doi.org/10.3390/app10175952 - 27 Aug 2020
Cited by 8 | Viewed by 1084
Abstract
Throughout this work, new criteria for the asymptotic behavior and oscillation of a class of odd-order delay differential equations with distributed deviating arguments are established. Our method is essentially based on establishing sharper estimates for positive solutions of the studied equation, using an [...] Read more.
Throughout this work, new criteria for the asymptotic behavior and oscillation of a class of odd-order delay differential equations with distributed deviating arguments are established. Our method is essentially based on establishing sharper estimates for positive solutions of the studied equation, using an iterative technique. Moreover, the iterative technique allows us to test the oscillation, even when the related results fail to apply. By establishing new comparison theorems that compare the nth-order equations with one or a couple of first-order delay differential equations, we obtain new conditions for oscillation of all solutions of the studied equation. To show the importance of our results, we provide two examples. Full article
(This article belongs to the Special Issue Methods in Dynamical Systems, Mathematics of Networks, and Optimization for Modelling in Engineering)
get_app
Article
Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order
by
Osama Moaaz
,
Ioannis Dassios
,
Waad Muhsin
and
Ali Muhib
Appl. Sci. 2020, 10(14), 4855; https://doi.org/10.3390/app10144855 - 15 Jul 2020
Cited by 13 | Viewed by 1412
Abstract
In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions. We then use these results to provide criteria for the under [...] Read more.
In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions. We then use these results to provide criteria for the under study differential equations to ensure that all its solutions are oscillatory. An example is given that illustrates our theory. Full article
(This article belongs to the Special Issue Methods in Dynamical Systems, Mathematics of Networks, and Optimization for Modelling in Engineering)
get_app
Article
On the Asymptotic Behavior of Advanced Differential Equations with a Non-Canonical Operator
by
Omar Bazighifan
and
Ioannis Dassios
Appl. Sci. 2020, 10(9), 3130; https://doi.org/10.3390/app10093130 - 30 Apr 2020
Cited by 12 | Viewed by 1556
Abstract
In this paper, we aim to study the oscillatory behavior of a class of even-order advanced differential equations with a non-canonical operator. In addition, we present results on the asymptotic behavior of this type of equations and provide an example that illustrates our [...] Read more.
In this paper, we aim to study the oscillatory behavior of a class of even-order advanced differential equations with a non-canonical operator. In addition, we present results on the asymptotic behavior of this type of equations and provide an example that illustrates our main results. Full article
(This article belongs to the Special Issue Methods in Dynamical Systems, Mathematics of Networks, and Optimization for Modelling in Engineering)
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-6
Back to TopTop